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Finding the Third Proportional to 354,734.44 and 550,784.81

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Solution

The third proportional to 354,734.44 and 550,784.81 is: 855,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,734.44 : 550,784.81 = 550,784.81 : x
  2. Step 2: Convert to fraction form
    354,734.44/550,784.81 = 550,784.81/x
  3. Step 3: Cross multiply
    354,734.44x = 550,784.81 × 550,784.81
  4. Step 4: Simplify right side
    354,734.44x = 303,363,909,680.66
  5. Step 5: Solve for x
    x = 303,363,909,680.66/354,734.44
  6. Step 6: Final answer
    x = 855,185.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.